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Finding the Third Proportional to 149,730 and 323,442

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Solution

The third proportional to 149,730 and 323,442 is: 698,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,730 : 323,442 = 323,442 : x
  2. Step 2: Convert to fraction form
    149,730/323,442 = 323,442/x
  3. Step 3: Cross multiply
    149,730x = 323,442 × 323,442
  4. Step 4: Simplify right side
    149,730x = 104,614,727,364
  5. Step 5: Solve for x
    x = 104,614,727,364/149,730
  6. Step 6: Final answer
    x = 698,689.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.